Originally Posted by Brinalynn
You need to set up a couple of tables like this:
Assign arbitrary values for x, and then solve for y. Start out using small integer values of x, both positive and negative. Start with x = 0 to obtain your y intercepts for both lines. Use as many values for x as necessary until you find the same ordered pair in each table. This would be your point of intersection.
y = 2x + 3 y = x + 5
x | y x | y
0 | 3 0 | 5
1 | 1 |
-1| -1 |
Plot these points on your graph and try to determine the point of intersection visually. The more careful you are when plotting and using a straightedge to draw your lines, the better your chances of finding the correct point of intersection.
Test the point of intersection into both equations to make sure it is the correct point.
Give it a shot.